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020 _a9783031792120
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024 7 _a10.1007/978-3-031-79212-0
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072 7 _aMAT000000
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082 0 4 _a510
_223
100 1 _aNovello, Tiago.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979085
245 1 0 _aGPU Ray Tracing in Non-Euclidean Spaces
_h[electronic resource] /
_cby Tiago Novello, Vinícius da Silva, Luiz Velho.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _aXVI, 112 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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490 1 _aSynthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging,
_x2469-4223
505 0 _aList of Figures -- Introduction -- Mathematical Background -- Visualization of Three-Dimensional Spaces -- Immersive Visualization -- Riemannian Ray Tracing -- Classical \lowercase {non -- Nil, SL2, and Sol -- Curved 3D Spaces -- Photo-Realism -- Bibliography -- Authors' Biographies.
520 _aThis book explores the visualization of three-dimensional non-Euclidean spaces using ray-tracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. Several conditions made this a special moment for such topic. On one hand, the development of mathematical research, computer graphics, and algorithms have provided the necessary theoretical framework. On the other hand, the evolution of the technologies and media allows us to be immersed in three-dimensional spaces using Virtual Reality. The content of this book serves both experts in the areas and students. Although this is a short book, it is self-contained since it considers all the ideas, motivations, references, and intuitive explanations of the required fundamental concepts.
650 0 _aMathematics.
_911584
650 0 _aImage processing
_xDigital techniques.
_94145
650 0 _aComputer vision.
_979086
650 1 4 _aMathematics.
_911584
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
_931569
700 1 _ada Silva, Vinícius.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979087
700 1 _aVelho, Luiz.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979088
710 2 _aSpringerLink (Online service)
_979089
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031792243
776 0 8 _iPrinted edition:
_z9783031792007
776 0 8 _iPrinted edition:
_z9783031792366
830 0 _aSynthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging,
_x2469-4223
_979090
856 4 0 _uhttps://doi.org/10.1007/978-3-031-79212-0
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