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We introduce and analyze an algorithm for the minimization of convex functions that are the sum of differentiable terms and proximable terms composed with linear operators. The method builds upon the recently developed smoothed gap…

Optimization and Control · Mathematics 2017-06-20 Quang Van Nguyen , Olivier Fercoq , Volkan Cevher

Approximations of optimization problems arise in computational procedures and sensitivity analysis. The resulting effect on solutions can be significant, with even small approximations of components of a problem translating into large…

Optimization and Control · Mathematics 2022-08-10 Johannes O. Royset

While recent learning based methods have been observed to be superior for several vision-related applications, their potential in generating artistic effects has not been explored much. One such interesting application is Shadow Art - a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Kaustubh Sadekar , Ashish Tiwari , Shanmuganathan Raman

We consider minimization of functions that are compositions of convex or prox-regular functions (possibly extended-valued) with smooth vector functions. A wide variety of important optimization problems fall into this framework. We describe…

Optimization and Control · Mathematics 2015-04-24 A. S. Lewis , S. J. Wright

Implicit representations of 3D objects have recently achieved impressive results on learning-based 3D reconstruction tasks. While existing works use simple texture models to represent object appearance, photo-realistic image synthesis…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Michael Oechsle , Michael Niemeyer , Lars Mescheder , Thilo Strauss , Andreas Geiger

Applications from manipulation to autonomous vehicles rely on robust and general object tracking to safely perform tasks in dynamic environments. We propose the first certifiably optimal category-level approach for simultaneous shape…

Robotics · Computer Science 2024-12-09 Lorenzo Shaikewitz , Samuel Ubellacker , Luca Carlone

Semantic shape completion is a challenging problem in 3D computer vision where the task is to generate a complete 3D shape using a partial 3D shape as input. We propose a learning-based approach to complete incomplete 3D shapes through…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Swaminathan Gurumurthy , Shubham Agrawal

This paper extends and generalizes previous works on constructing combinatorial multivector fields from continuous systems (see [10]) and the construction of combinatorial vector fields from data (see [2]) by introducing an optimization…

Optimization and Control · Mathematics 2025-01-07 Dominic Desjardins Côté , Donald Woukeng

We study the problem of novel view synthesis from sparse source observations of a scene comprised of 3D objects. We propose a simple yet effective approach that is neither continuous nor implicit, challenging recent trends on view…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Pengsheng Guo , Miguel Angel Bautista , Alex Colburn , Liang Yang , Daniel Ulbricht , Joshua M. Susskind , Qi Shan

We develop a novel framework to study smooth and strongly convex optimization algorithms, both deterministic and stochastic. Focusing on quadratic functions we are able to examine optimization algorithms as a recursive application of linear…

Optimization and Control · Mathematics 2015-03-25 Yossi Arjevani , Shai Shalev-Shwartz , Ohad Shamir

Differentiable simulation is a promising toolkit for fast gradient-based policy optimization and system identification. However, existing approaches to differentiable simulation have largely tackled scenarios where obtaining smooth…

Machine Learning · Statistics 2022-07-04 Rika Antonova , Jingyun Yang , Krishna Murthy Jatavallabhula , Jeannette Bohg

Most deep learning approaches to comprehensive semantic modeling of 3D indoor spaces require costly dense annotations in the 3D domain. In this work, we explore a central 3D scene modeling task, namely, semantic scene reconstruction without…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Junwen Huang , Alexey Artemov , Yujin Chen , Shuaifeng Zhi , Kai Xu , Matthias Nießner

The latest sheet stamping processes enable efficient manufacturing of complex shape structural components that have high stiffness to weight ratios, but these processes can introduce defects. To assist component design for stamping…

Machine Learning · Computer Science 2022-02-09 Hamid Reza Attar , Alistair Foster , Nan Li

We present a fast and simple technique to convert images into a radiance surface-based scene representation. Building on existing radiance volume reconstruction algorithms, we introduce a subtle yet impactful modification of the loss…

We propose a fully automatic method for fitting a 3D morphable model to single face images in arbitrary pose and lighting. Our approach relies on geometric features (edges and landmarks) and, inspired by the iterated closest point…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Anil Bas , William A. P. Smith , Timo Bolkart , Stefanie Wuhrer

In recent years, substantial progress has been achieved in learning-based reconstruction of 3D objects. At the same time, generative models were proposed that can generate highly realistic images. However, despite this success in these…

Computer Vision and Pattern Recognition · Computer Science 2019-05-20 Michael Oechsle , Lars Mescheder , Michael Niemeyer , Thilo Strauss , Andreas Geiger

Reconstruction of 3D neural fields from posed images has emerged as a promising method for self-supervised representation learning. The key challenge preventing the deployment of these 3D scene learners on large-scale video data is their…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Cameron Smith , Yilun Du , Ayush Tewari , Vincent Sitzmann

A common representation of a three dimensional object in computer applications, such as graphics and design, is in the form of a triangular mesh. In many instances, individual or groups of triangles in such representation need to satisfy…

Optimization and Control · Mathematics 2019-04-08 Valentin R. Koch , Hung M. Phan

This paper introduces a method to synthesize a 3D tensor field within a constrained geometric domain represented as a tetrahedral mesh. Whereas previous techniques optimize for isotropic fields, we focus on anisotropic tensor fields that…

Computational Geometry · Computer Science 2025-05-12 Haikuan Zhu , Hongbo Li , Hsueh-Ti Derek Liu , Wenping Wang , Jing Hua , Zichun Zhong

Generative reconstruction methods compute the 3D configuration (such as pose and/or geometry) of a shape by optimizing the overlap of the projected 3D shape model with images. Proper handling of occlusions is a big challenge, since the…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Helge Rhodin , Nadia Robertini , Christian Richardt , Hans-Peter Seidel , Christian Theobalt
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