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Fantasia3D: Disentangling Geometry and Appearance for High-quality Text-to-3D Content Creation
IEEE International Conference on Computer Vision, 2023Automatic 3D content creation has achieved rapid progress recently due to the availability of pre-trained, large language models and image diffusion models, forming the emerging topic of text-to-3D content creation.
Rui Chen, Y. Chen, Ningxin Jiao, K. Jia
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, 1984
"...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations
B. Mandelbrot
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"...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations
B. Mandelbrot
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Japanese journal of mathematics, 2021
Information geometry has emerged from the study of the invariant structure in families of probability distributions. This invariance uniquely determines a second-order symmetric tensor g and third-order symmetric tensor T in a manifold of probability ...
S. Amari
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Information geometry has emerged from the study of the invariant structure in families of probability distributions. This invariance uniquely determines a second-order symmetric tensor g and third-order symmetric tensor T in a manifold of probability ...
S. Amari
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Differential Geometry, Lie Groups, and Symmetric Spaces
, 1978Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces ...
S. Helgason
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Fractal Geometry: Mathematical Foundations and Applications
, 1990Part I Foundations: mathematical background Hausdorff measure and dimension alternative definitions of dimension techniques for calculating dimensions local structure of fractals projections of fractals products of fractals intersections of fractals ...
K. Falconer
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A comprehensive introduction to differential geometry
, 1979Spivak's Comprehensive introduction takes as its theme the classical roots of contemporary differential geometry. Spivak explains his Main Premise (my term) as follows: "in order for an introduction to differential geometry to expose the geometric aspect
M. Spivak
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Introduction: Geometry and Geometries
1999Geometry is the study of shape. It takes its name from the Greek belief that geometry began with Egyptian surveyors of two or three millennia ago measuring the Earth, or at least the fertile expanse of it that was annually flooded by the Nile. The word comes from the Greek words geo (Earth) and metria (measuring).
David A. Brannan+2 more
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