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A two-step shape reconstruction method for diffuse optical tomography (DOT) is presented which uses adjoint fields and level sets. The propagation of near-infrared photons in tissue is modeled by the time-dependent linear transport…

Numerical Analysis · Mathematics 2025-10-20 Oliver Dorn

Mean value interpolation is a method for fitting a smooth function to piecewise-linear data prescribed on the boundary of a polygon of arbitrary shape, and has applications in computer graphics and curve and surface modelling. The method…

Numerical Analysis · Mathematics 2019-06-21 Michael S. Floater , Francesco Patrizi

Motivated by the fact that the medial axis transform is able to encode nearly the complete shape, we propose to use as few medial balls as possible to approximate the original enclosed volume by the boundary surface. We progressively select…

Graphics · Computer Science 2020-08-20 Zhiyang Dou , Shiqing Xin , Rui Xu , Jian Xu , Yuanfeng Zhou , Shuangmin Chen , Wenping Wang , Xiuyang Zhao , Changhe Tu

Deep feature spaces have the capacity to encode complex transformations of their input data. However, understanding the relative feature-space relationship between two transformed encoded images is difficult. For instance, what is the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-23 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

Task-oriented object grasping and rearrangement are critical skills for robots to accomplish different real-world manipulation tasks. However, they remain challenging due to partial observations of the objects and shape variations in…

Robotics · Computer Science 2026-03-06 Yichen Cai , Jianfeng Gao , Christoph Pohl , Tamim Asfour

We propose Framer for interactive frame interpolation, which targets producing smoothly transitioning frames between two images as per user creativity. Concretely, besides taking the start and end frames as inputs, our approach supports…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Wen Wang , Qiuyu Wang , Kecheng Zheng , Hao Ouyang , Zhekai Chen , Biao Gong , Hao Chen , Yujun Shen , Chunhua Shen

In mesh-based numerical simulations, the interpolation of mesh-defined functions across different meshes is a critical task, and achieving high-precision interpolation is of great significance for improving the computational efficiency and…

Numerical Analysis · Mathematics 2026-04-15 Jiaxiong Hao , Yunqing Huang , Nianyu Yi

We present a new technique named "Meta Deformation Network" for 3D shape matching via deformation, in which a deep neural network maps a reference shape onto the parameters of a second neural network whose task is to give the correspondence…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Daohan Lu , Yi Fang

In recent years, implicit surface representations through neural networks that encode the signed distance have gained popularity and have achieved state-of-the-art results in various tasks (e.g. shape representation, shape reconstruction,…

Graphics · Computer Science 2023-01-30 Petros Tzathas , Petros Maragos , Anastasios Roussos

Shape inference is classically ill-posed, because it involves a map from the (2D) image domain to the (3D) world. Standard approaches regularize this problem by either assuming a prior on lighting and rendering or restricting the domain,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-21 Steven W Zucker

This paper introduces a new method to stylize 3D geometry. The key observation is that the surface normal is an effective instrument to capture different geometric styles. Centered around this observation, we cast stylization as a shape…

Graphics · Computer Science 2021-07-13 Hsueh-Ti Derek Liu , Alec Jacobson

We present a new end-to-end learning framework to obtain detailed and spatially coherent reconstructions of multiple people from a single image. Existing multi-person methods suffer from two main drawbacks: they are often model-based and…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Armin Mustafa , Akin Caliskan , Lourdes Agapito , Adrian Hilton

Reorienting diverse objects with a multi-fingered hand is a challenging task. Current methods in robotic in-hand manipulation are either object-specific or require permanent supervision of the object state from visual sensors. This is far…

Robotics · Computer Science 2024-08-30 Johannes Pitz , Lennart Röstel , Leon Sievers , Darius Burschka , Berthold Bäuml

Convolution is an integral operation that defines how the shape of one function is modified by another function. This powerful concept forms the basis of hierarchical feature learning in deep neural networks. Although performing convolution…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Sameera Ramasinghe , Salman Khan , Nick Barnes , Stephen Gould

In the era of big data, we first need to manage the data, which requires us to find missing data or predict the trend, so we need operations including interpolation and data fitting. Interpolation is a process to discover deducing new data…

Numerical Analysis · Mathematics 2022-08-26 Yijie Xu , Runqi Xu

Parametric 3D models have formed a fundamental role in modeling deformable objects, such as human bodies, faces, and hands; however, the construction of such parametric models requires significant manual intervention and domain expertise.…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Pablo Palafox , Nikolaos Sarafianos , Tony Tung , Angela Dai

We introduce a general, scalable computational framework for multi-axis 3D printing based on implicit neural fields (INFs) that unifies all stages of toolpath generation and global collision-free motion planning. In our pipeline, input…

Robotics · Computer Science 2025-09-09 Jiasheng Qu , Zhuo Huang , Dezhao Guo , Hailin Sun , Aoran Lyu , Chengkai Dai , Yeung Yam , Guoxin Fang

This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, A. Orlando, Compensated convexity methods for approximations and…

Metric Geometry · Mathematics 2018-09-11 Kewei Zhang , Elaine Crooks , Antonio Orlando

Implicit neural representations map a shape-specific latent code and a 3D coordinate to its corresponding signed distance (SDF) value. However, this approach only offers a single level of detail. Emulating low levels of detail can be…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Benoit Guillard , Marc Habermann , Christian Theobalt , Pascal Fua

The use of autoencoders for shape editing or generation through latent space manipulation suffers from unpredictable changes in the output shape. Our autoencoder-based method enables intuitive shape editing in latent space by disentangling…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Tim Elsner , Moritz Ibing , Victor Czech , Julius Nehring-Wirxel , Leif Kobbelt