We discretize isometric map**s between surfaces as correspondences between
checkerboard patterns derived from quad meshes. This method captures the degrees of …

This paper develops a shape space framework for collision-aware geometric modeling,
where basic geometric operations automatically avoid inter-penetration. Shape spaces are a …

We solve the task of representing free forms by an arrangement of panels that are
manufacturable by precise isometric bending of surfaces made from a small number of …

Abstract 3D shape editing is widely used in a range of applications such as movie
production, computer games and computer aided design. It is also a popular research topic …

We revisit the classical problem of 3D shape interpolation and propose a novel, physically
plausible approach based on Hamiltonian dynamics. While most prior work focuses on …

This paper introduces the construction of a low‐dimensional nonlinear space capturing the
variability of a non‐rigid shape from a data set of example poses. The core of the approach …

Parametrizations of data manifolds in shape spaces can be computed using the rich toolbox
of Riemannian geometry. This, however, often comes with high computational costs, which …

In many real-world scenarios, decision-makers face uncertainties that can affect the
outcomes of their decisions. These uncertainties arise from various sources, such as …

In this work, polygons of the integer sides are introduced. Moreover, by considering some
Pythagorean-like relationships on these polygons, we prove that for all n-polygons of the …

ﻕﺪﺻ ﺱﺭﻮﻏﺎﺜﻴﻓ ﻪﻄﺑﺍﺭ ﻪﺑﺎﺸﻣ ﻱﺍ ﻪﻄﺑﺍﺭ ﺭﺩ ﻪﮐ ﺪﻧﻮﺷ ﻲﻣ ﻲﻓﺮﻌﻣ ﺢﻴﺤﺻ ﻉﻼﺿﺍ ﺎﺑ ﻱﺎﻫ ﻲﻌﻠﺿﺪﻨﭼ، ﻪﻟﺎﻘﻣ ﻦﻳﺍ ﺭﺩ: ﻩﺪﻴﮑﭼ، ﺪﻧﺍ ﻩﺪﺷ
ﻪﺘﺧﺎﺳ ﺕﺭﻮﺻ ﻦﻳﺍ ﻪﺑ ﻪﮐ ﻲﻳﺎﻫ ﻲﻌﻠﺿ-n ﻡﺎﻤﺗ ﻱﺍﺮﺑ ﺱﺭﻮﻏﺎﺜﻴﻓ ﻪﺒﺷ ﻪﻄﺑﺍﺭ ﻦﻳﺍ ﻪﮐ ﺩﻮﺷ ﻲﻣ ﻩﺩﺍﺩ ﻥﺎﺸﻧ. ﺪﻨﻨﮐ ﻲﻣ ﻦﻳﺍﺮﺑﺎﻨﺑ ﻭ ﺖﺴﻴﻧ ﺮﺗ …‎