Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study

This paper presents the evaluation of two computational techniques for smoothing noise that might be present in synthetic images or numerical phantoms of magnetic resonance (MRI). The images that will serve as the databases (DB) during the course of this evaluation are available freely on the Intern...

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Autores:
Gelvez Almeida, Elkin
Vera, Miguel Ángel
Huérfano Maldonado, Yoleidy Katherine
Valbuena Prada, Óscar
Salazar Echeverria, Williams Justo José
Vera Contreras, María Isabel
Borrero Rodríguez, Maryuri Astrid
Barrera Cortes, Doris Yaneth
Hernández Morantes, Carlos
Molina Mujica, Ángel Valentín
Martínez, Luis Javier
Sáenz Peña, Frank Hernando
‪Vivas García, Marisela
Contreras Velásquez, Julio César
Restrepo Morales, Jorge Aníbal
Vanegas López, Juan Gabriel
Salazar Torres, Juan Pablo
Contreras Santander, Yudith Liliana
Tipo de recurso:
Article of investigation
Fecha de publicación:
2018
Institución:
Tecnológico de Antioquia
Repositorio:
Repositorio Tdea
Idioma:
eng
OAI Identifier:
oai:dspace.tdea.edu.co:tdea/2845
Acceso en línea:
https://dspace.tdea.edu.co/handle/tdea/2845
Palabra clave:
Magnetic Resonance
Resonancia Magnética
Ressonância Magnética
Synthetic Cerebral images
Imágenes sintéticas cerebrales
Rician noise
Ruido Riciano
Gaussian filter
Filtro Gausiano
Anisotropic diffusion filter
Filtro de difusión anisotrópica
PSNR
Rights
openAccess
License
https://creativecommons.org/licenses/by-nd/4.0/
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oai_identifier_str oai:dspace.tdea.edu.co:tdea/2845
network_acronym_str RepoTdea2
network_name_str Repositorio Tdea
repository_id_str
dc.title.none.fl_str_mv Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
dc.title.translated.none.fl_str_mv Filtros suavizadores en imágenes sintéticas de resonancia magnética cerebral: un estudio comparativo
title Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
spellingShingle Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
Magnetic Resonance
Resonancia Magnética
Ressonância Magnética
Synthetic Cerebral images
Imágenes sintéticas cerebrales
Rician noise
Ruido Riciano
Gaussian filter
Filtro Gausiano
Anisotropic diffusion filter
Filtro de difusión anisotrópica
PSNR
title_short Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
title_full Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
title_fullStr Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
title_full_unstemmed Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
title_sort Smoothing filters in synthetic cerebral magnetic resonance images: A comparative study
dc.creator.fl_str_mv Gelvez Almeida, Elkin
Vera, Miguel Ángel
Huérfano Maldonado, Yoleidy Katherine
Valbuena Prada, Óscar
Salazar Echeverria, Williams Justo José
Vera Contreras, María Isabel
Borrero Rodríguez, Maryuri Astrid
Barrera Cortes, Doris Yaneth
Hernández Morantes, Carlos
Molina Mujica, Ángel Valentín
Martínez, Luis Javier
Sáenz Peña, Frank Hernando
‪Vivas García, Marisela
Contreras Velásquez, Julio César
Restrepo Morales, Jorge Aníbal
Vanegas López, Juan Gabriel
Salazar Torres, Juan Pablo
Contreras Santander, Yudith Liliana
dc.contributor.author.none.fl_str_mv Gelvez Almeida, Elkin
Vera, Miguel Ángel
Huérfano Maldonado, Yoleidy Katherine
Valbuena Prada, Óscar
Salazar Echeverria, Williams Justo José
Vera Contreras, María Isabel
Borrero Rodríguez, Maryuri Astrid
Barrera Cortes, Doris Yaneth
Hernández Morantes, Carlos
Molina Mujica, Ángel Valentín
Martínez, Luis Javier
Sáenz Peña, Frank Hernando
‪Vivas García, Marisela
Contreras Velásquez, Julio César
Restrepo Morales, Jorge Aníbal
Vanegas López, Juan Gabriel
Salazar Torres, Juan Pablo
Contreras Santander, Yudith Liliana
dc.subject.decs.none.fl_str_mv Magnetic Resonance
Resonancia Magnética
Ressonância Magnética
topic Magnetic Resonance
Resonancia Magnética
Ressonância Magnética
Synthetic Cerebral images
Imágenes sintéticas cerebrales
Rician noise
Ruido Riciano
Gaussian filter
Filtro Gausiano
Anisotropic diffusion filter
Filtro de difusión anisotrópica
PSNR
dc.subject.proposal.none.fl_str_mv Synthetic Cerebral images
Imágenes sintéticas cerebrales
Rician noise
Ruido Riciano
Gaussian filter
Filtro Gausiano
Anisotropic diffusion filter
Filtro de difusión anisotrópica
PSNR
description This paper presents the evaluation of two computational techniques for smoothing noise that might be present in synthetic images or numerical phantoms of magnetic resonance (MRI). The images that will serve as the databases (DB) during the course of this evaluation are available freely on the Internet and are reported in specialized literature as synthetic images called BrainWeb. The images that belong to this DB were contaminated with Rician noise, this being the most frequent type of noise in real MRI images. Also, the techniques that are usually considered to minimize the impact of Rician noise on the quality of BrainWeb images are matched with the Gaussian filter (GF) and an anisotropic diffusion filter, based on the gradient of the image (GADF). Each of these filters has 2 parameters that control their operation and, therefore, undergo a rigorous tuning process to identify the optimal values that guarantee the best performance of both the GF and the GADF. The peak of the signal-to-noise ratio (PSNR) and the computation time are considered as key elements to analyze the behavior of each of the filtering techniques applied. The results indicate that: a) both filters generate PSNR values comparable to each other. b) The GF requires a significantly shorter computation time to soften the Rician noise present in the considered DB. Keywords: Synthetic Cerebral images, Magnetic resonance, Rician noise, Gaussian filter, Anisotropic diffusion filter, PSNR.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2023-05-01T21:35:28Z
dc.date.available.none.fl_str_mv 2023-05-01T21:35:28Z
dc.type.spa.fl_str_mv Artículo de revista
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identifier_str_mv 1856-4550
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url https://dspace.tdea.edu.co/handle/tdea/2845
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationendpage.spa.fl_str_mv 338
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dc.relation.citationstartpage.spa.fl_str_mv 335
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dc.relation.ispartofjournal.spa.fl_str_mv Revista Latinoamericana de Hipertensión
dc.relation.references.spa.fl_str_mv Gudbjartsson H. y Patz S.The rician distribution of noisy MRI data, Magn. Reson. Med. 34 (1) (1995) 910914.
Macovski A. (1996). Noise in MRI, Magn. Reson. Med. 36 (1) 494497
Cocosco C., Kollokian V., Kwan R. y Evans A. (1997). BrainWeb: Online Interface to a 3D MRI Simulated Brain Database. NeuroImage, 5(4), part 2/4, S425, 1997. Proceedings of 3-rd International Conference on Functional Mapping of the Human Brain, Copenhagen.
Kwan R., Evans A. y Pike G. (1999). MRI simulation-based evaluation of image processing and classification methods. IEEE Transactions on Medical Imaging. 18(11):1085-97.
Collins D., Zijdenbos A., Kollokian V., Sled J. y Kabani N., Holmes C., Evans A. (1998). Design and Construction of a Realistic Digital Brain Phantom. IEEE Transactions on Medical Imaging, 17(3):463-468.
Kwan R., Evans A. y Pike G. (1996). An Extensible MRI Simulator for Post-Processing-Evaluation-Visualization in Biomedical Computing (VBC’96). Lecture Notes in Computer Science, 1131:135-140.Springer-Verlag,
Coupé P., Yger P., Prima S., Hellier P., Kervrann C. y Barillot C. (2008). An optimized blockwise nonlocal means denoising filter for 3-D magnetic resonance images, IEEE Trans. Med. Imag. 27(4):425–441.
Perona P. y Malik J. (1990). Scalespace and edge detection using anisotropic diffusion, IEEE Trans. on Patt. Analysis and Machine Intelligence 12(7): 629–639.
Vera M. Segmentación de estructuras cardiacas en imágenes de tomografía computarizada multi-corte. Ph.D. dissertation, Universidad de los Andes, Mérida-Venezuela, 2014
Vera M., Huérfano Y., Contreras J., Vera M. I., Salazar W., Vargas S., Chacón J. y Rodríguez J. (2017). Detección de hemorragia intracraneal intraparenquimatosa, en imágenes de tomografía computarizada cerebral, usando una técnica computacional no lineal. Latinoamericana de Hipertensión. 12(5), 125-130.
Meijering H. Image enhancement in digital X–ray angiography. [Tesis Doctoral], Utrecht University, Netherlands, 2000
González R., Woods R. Digital Image Processing. USA: Prentice Hall, 2001
Pratt W. Digital Image Processing. USA: John Wiley & Sons Inc, 2007.
Netravali A. y Haskell B. Digital Pictures: Representation, Compression, and Standards (2nd Ed), Plenum Press, New York, NY (1995).
Rabbani M. y Jones P. Digital Image Compression Techniques, Vol TT7, SPIE Optical Engineering Press, Bellvue, Washington (1991).
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by-nd/4.0/
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dc.publisher.place.spa.fl_str_mv Venezuela
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institution Tecnológico de Antioquia
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spelling Gelvez Almeida, Elkin55d95733-c7fa-47a7-97ae-3602fab4f9e2Vera, Miguel Ángel2d03fc74-c146-4d52-9ff1-d7c5b5ea6af0Huérfano Maldonado, Yoleidy Katherinec039ea44-b4aa-4282-8b06-f4a4274fb0caValbuena Prada, Óscard15c1278-5cbf-49a0-aae6-59e46009dbd2Salazar Echeverria, Williams Justo José5484a9d0-a6c2-4ac2-983d-57b1e568add1Vera Contreras, María Isabela928a6af-2381-466d-a8be-d579d6211df9Borrero Rodríguez, Maryuri Astrid8a2e3325-aee2-4566-befe-e690bf812bc3Barrera Cortes, Doris Yaneth993dbfe7-9fe4-41dc-a482-fca2caa7fc74Hernández Morantes, Carlosbaa9d5c1-188c-41e3-bb99-2bd6d4ee6b60Molina Mujica, Ángel Valentín95d07e7b-8267-4164-852a-5b842bd0d0a1Martínez, Luis Javier1cb54b65-e1b9-44f5-82ec-e38ce17bfa01Sáenz Peña, Frank Hernandod48eb899-f674-4b30-8db4-a83ab6632546‪Vivas García, Mariselae0810f6c-b027-4189-9990-c41b1f0948fcContreras Velásquez, Julio César88e07ab2-7d2e-4b91-929d-b5df5c20bfeeRestrepo Morales, Jorge Aníbal150531c3-ca5b-413b-b0b8-7fb4d96b7540Vanegas López, Juan Gabriel06b45ca3-001c-4ffc-bdd8-53d760752726Salazar Torres, Juan Pablo72d4b1d5-2e56-4241-b04c-6145bea8da0cContreras Santander, Yudith Liliana2230089d-29dd-4054-b1ad-5c4bb9656f112023-05-01T21:35:28Z2023-05-01T21:35:28Z20181856-4550https://dspace.tdea.edu.co/handle/tdea/28452610-7996This paper presents the evaluation of two computational techniques for smoothing noise that might be present in synthetic images or numerical phantoms of magnetic resonance (MRI). The images that will serve as the databases (DB) during the course of this evaluation are available freely on the Internet and are reported in specialized literature as synthetic images called BrainWeb. The images that belong to this DB were contaminated with Rician noise, this being the most frequent type of noise in real MRI images. Also, the techniques that are usually considered to minimize the impact of Rician noise on the quality of BrainWeb images are matched with the Gaussian filter (GF) and an anisotropic diffusion filter, based on the gradient of the image (GADF). Each of these filters has 2 parameters that control their operation and, therefore, undergo a rigorous tuning process to identify the optimal values that guarantee the best performance of both the GF and the GADF. The peak of the signal-to-noise ratio (PSNR) and the computation time are considered as key elements to analyze the behavior of each of the filtering techniques applied. The results indicate that: a) both filters generate PSNR values comparable to each other. b) The GF requires a significantly shorter computation time to soften the Rician noise present in the considered DB. Keywords: Synthetic Cerebral images, Magnetic resonance, Rician noise, Gaussian filter, Anisotropic diffusion filter, PSNR.Este artículo presenta la evaluación de dos técnicas computacionales para el suavizado de ruido, que puede estar presente en imágenes sintéticas o phantoms numéricos de resonancia magnética (MRI). Las imágenes que servirán como bases de datos (DB) para el desarrollo de la mencionada evaluación están disponibles, de manera libre, en la Internet y se reportan, en la literatura especializada, como imágenes sintéticas denominadas BrainWeb. Las imágenes pertenecientes a esta DB fueron contaminadas con ruido Riciano debido a que este es el tipo de ruido más frecuente en imágenes de MRI reales. Por otra parte, las técnicas consideradas para minimizar el impacto de este ruido, en la calidad de las imágenes de la BrainWeb, se hacen coincidir con el filtro Gausiano (GF) y un filtro de difusión anisotrópica, basado en el gradiente de la imagen (GADF). Cada uno de estos filtros posee 2 parámetros que controlan su funcionamiento y, por ende, deben someterse a un proceso de entonación riguroso para identificar los valores óptimos que garanticen el mejor desempeño tanto del GF como del GADF. El pico de la relación señal a ruido (PSNR) y el tiempo de cómputo son considerados como elementos clave para analizar el comportamiento de cada una de las técnicas de filtrado aplicadas. Los resultados indican que: a) Ambos filtros generan valores de PSNR comparables entre sí. b) El GF requiere de un tiempo de cómputo, significativamente, menor para suavizar el ruido Riciano presente en la DB considerada. Palabras clave: Imágenes sintéticas cerebrales, Resonancia magnética, Ruido Riciano, Filtro Gausiano, Filtro de difusión anisotrópica, PSNR.4 páginasapplication/pdfengCooperativa Servicios y Suministros 212518Venezuelahttps://creativecommons.org/licenses/by-nd/4.0/Atribución-SinDerivadas 4.0 Internacional (CC BY-ND 4.0)info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2https://www.researchgate.net/publication/329035614_Smoothing_filters_in_synthetic_cerebral_magnetic_resonance_images_A_comparative_studySmoothing filters in synthetic cerebral magnetic resonance images: A comparative studyFiltros suavizadores en imágenes sintéticas de resonancia magnética cerebral: un estudio comparativoArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85338433513Revista Latinoamericana de HipertensiónGudbjartsson H. y Patz S.The rician distribution of noisy MRI data, Magn. Reson. Med. 34 (1) (1995) 910914.Macovski A. (1996). Noise in MRI, Magn. Reson. Med. 36 (1) 494497Cocosco C., Kollokian V., Kwan R. y Evans A. (1997). BrainWeb: Online Interface to a 3D MRI Simulated Brain Database. NeuroImage, 5(4), part 2/4, S425, 1997. Proceedings of 3-rd International Conference on Functional Mapping of the Human Brain, Copenhagen.Kwan R., Evans A. y Pike G. (1999). MRI simulation-based evaluation of image processing and classification methods. IEEE Transactions on Medical Imaging. 18(11):1085-97.Collins D., Zijdenbos A., Kollokian V., Sled J. y Kabani N., Holmes C., Evans A. (1998). Design and Construction of a Realistic Digital Brain Phantom. IEEE Transactions on Medical Imaging, 17(3):463-468.Kwan R., Evans A. y Pike G. (1996). An Extensible MRI Simulator for Post-Processing-Evaluation-Visualization in Biomedical Computing (VBC’96). Lecture Notes in Computer Science, 1131:135-140.Springer-Verlag,Coupé P., Yger P., Prima S., Hellier P., Kervrann C. y Barillot C. (2008). An optimized blockwise nonlocal means denoising filter for 3-D magnetic resonance images, IEEE Trans. Med. Imag. 27(4):425–441.Perona P. y Malik J. (1990). Scalespace and edge detection using anisotropic diffusion, IEEE Trans. on Patt. Analysis and Machine Intelligence 12(7): 629–639.Vera M. Segmentación de estructuras cardiacas en imágenes de tomografía computarizada multi-corte. Ph.D. dissertation, Universidad de los Andes, Mérida-Venezuela, 2014Vera M., Huérfano Y., Contreras J., Vera M. I., Salazar W., Vargas S., Chacón J. y Rodríguez J. (2017). Detección de hemorragia intracraneal intraparenquimatosa, en imágenes de tomografía computarizada cerebral, usando una técnica computacional no lineal. Latinoamericana de Hipertensión. 12(5), 125-130.Meijering H. Image enhancement in digital X–ray angiography. [Tesis Doctoral], Utrecht University, Netherlands, 2000González R., Woods R. Digital Image Processing. USA: Prentice Hall, 2001Pratt W. Digital Image Processing. USA: John Wiley & Sons Inc, 2007.Netravali A. y Haskell B. Digital Pictures: Representation, Compression, and Standards (2nd Ed), Plenum Press, New York, NY (1995).Rabbani M. y Jones P. Digital Image Compression Techniques, Vol TT7, SPIE Optical Engineering Press, Bellvue, Washington (1991).Magnetic ResonanceResonancia MagnéticaRessonância MagnéticaSynthetic Cerebral imagesImágenes sintéticas cerebralesRician noiseRuido RicianoGaussian filterFiltro GausianoAnisotropic diffusion filterFiltro de difusión anisotrópicaPSNRORIGINALSmoothing filters in synthetic cerebral magnetic resonance images_ A comparative study.pdfSmoothing filters in synthetic cerebral magnetic resonance images_ A comparative study.pdfapplication/pdf327162https://dspace.tdea.edu.co/bitstream/tdea/2845/1/Smoothing%20filters%20in%20synthetic%20cerebral%20magnetic%20resonance%20images_%20A%20comparative%20study.pdf76256dfc109ce461544c3429ffa6f959MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://dspace.tdea.edu.co/bitstream/tdea/2845/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessTEXTSmoothing filters in synthetic cerebral magnetic resonance images_ A 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
