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Fantasia3D: Disentangling Geometry and Appearance for High-quality Text-to-3D Content Creation

IEEE International Conference on Computer Vision, 2023
Automatic 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
semanticscholar   +1 more source

Fractal Geometry of Nature

, 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
semanticscholar   +1 more source

Information geometry

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
semanticscholar   +1 more source

Differential Geometry, Lie Groups, and Symmetric Spaces

, 1978
Elementary 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
semanticscholar   +1 more source

Fractal Geometry: Mathematical Foundations and Applications

, 1990
Part 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
semanticscholar   +1 more source

A comprehensive introduction to differential geometry

, 1979
Spivak'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
semanticscholar   +1 more source

Introduction: Geometry and Geometries

1999
Geometry 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
openaire   +2 more sources

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