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For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficient condition on the level set function to guarantee the…

Numerical Analysis · Mathematics 2018-11-13 Shousheng Luo , Xue-cheng Tai

Differentiable rendering aims to compute the derivative of the image rendering function with respect to the rendering parameters. This paper presents a novel algorithm for 6-DoF pose estimation through gradient-based optimization using a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-27 Ramchander Rao Bhaskara , Roshan Thomas Eapen , Manoranjan Majji

We present a topology-informed inverse rendering approach for reconstructing high-genus surface meshes from multi-view images. Compared to 3D representations like voxels and point clouds, mesh-based representations are preferred as they…

Field-guided parametrization methods have proven effective for quad meshing of surfaces; these methods compute smooth cross fields to guide the meshing process and then integrate the fields to construct a discrete mesh. A key challenge in…

Graphics · Computer Science 2020-04-29 David Palmer , David Bommes , Justin Solomon

We introduce DoubleField, a novel framework combining the merits of both surface field and radiance field for high-fidelity human reconstruction and rendering. Within DoubleField, the surface field and radiance field are associated together…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Ruizhi Shao , Hongwen Zhang , He Zhang , Mingjia Chen , Yanpei Cao , Tao Yu , Yebin Liu

Deep neural networks (DNNs) have shown remarkable performance improvements on vision-related tasks such as object detection or image segmentation. Despite their success, they generally lack the understanding of 3D objects which form the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Hiroharu Kato , Deniz Beker , Mihai Morariu , Takahiro Ando , Toru Matsuoka , Wadim Kehl , Adrien Gaidon

We present a novel technique for implicit neural representation of light fields at continuously defined viewpoints with high quality and fidelity. Our implicit neural representation maps 4D coordinates defining two-plane parameterization of…

Graphics · Computer Science 2023-05-11 Süleyman Aslan , Brandon Yushan Feng , Amitabh Varshney

A new parametric surface representation is proposed that interpolates the vertices of a given closed mesh of arbitrary topology. Smoothly connecting quadrilateral patches are created by blending local, multi-sided quadratic interpolants. In…

Computational Geometry · Computer Science 2026-01-28 Péter Salvi

We propose Differentiable Stereopsis, a multi-view stereo approach that reconstructs shape and texture from few input views and noisy cameras. We pair traditional stereopsis and modern differentiable rendering to build an end-to-end model…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Shubham Goel , Georgia Gkioxari , Jitendra Malik

We present a novel way of approaching image-based 3D reconstruction based on radiance fields. The problem of volumetric reconstruction is formulated as a non-linear least-squares problem and solved explicitly without the use of neural…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Sverker Rasmuson , Erik Sintorn , Ulf Assarsson

We present a novel and effective binary representation for convex shapes. We show the equivalence between the shape convexity and some properties of the associated indicator function. The proposed method has two advantages. Firstly, the…

Numerical Analysis · Mathematics 2020-02-25 Shousheng Luo , Xue-Cheng Tai , Yang Wang

Three-dimensional (3D) object reconstruction based on differentiable rendering (DR) is an active research topic in computer vision. DR-based methods minimize the difference between the rendered and target images by optimizing both the shape…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Chunyu Li , Taisuke Hashimoto , Eiichi Matsumoto , Hiroharu Kato

Dense 3D convolutions provide high accuracy for perception but are too computationally expensive for real-time robotic systems. Existing tri-plane methods rely on 2D image features with interpolation, point-wise queries, and implicit MLPs,…

Robotics · Computer Science 2025-09-19 Sibaek Lee , Jiung Yeon , Hyeonwoo Yu

We introduce a theoretical framework for differentiable surface evolution that allows discrete topology changes through the use of topological derivatives for variational optimization of image functionals. While prior methods for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

Reconstructing 3D objects from images is inherently an ill-posed problem due to ambiguities in geometry, appearance, and topology. This paper introduces collaborative inverse rendering with persistent homology priors, a novel strategy that…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Xiang Gao , Xinmu Wang , Yuanpeng Liu , Yue Wang , Junqi Huang , Wei Chen , Xianfeng Gu

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

Robotic systems are transforming image-guided interventions by enhancing accuracy and minimizing radiation exposure. A significant challenge in robotic assistance lies in surgical path planning, which often relies on the registration of…

Neural implicit fields have emerged as a powerful 3D representation for reconstructing and rendering photo-realistic views, yet they possess limited editability. Conversely, explicit 3D representations, such as polygonal meshes, offer ease…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Can Wang , Mingming He , Menglei Chai , Dongdong Chen , Jing Liao

We present a novel 3D pose refinement approach based on differentiable rendering for objects of arbitrary categories in the wild. In contrast to previous methods, we make two main contributions: First, instead of comparing real-world images…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Alexander Grabner , Yaming Wang , Peizhao Zhang , Peihong Guo , Tong Xiao , Peter Vajda , Peter M. Roth , Vincent Lepetit

Deep implicit surfaces excel at modeling generic shapes but do not always capture the regularities present in manufactured objects, which is something simple geometric primitives are particularly good at. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-09 Subeesh Vasu , Nicolas Talabot , Artem Lukoianov , Pierre Baqué , Jonathan Donier , Pascal Fua