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This paper presents invariants under gamma correction and similarity transformations. The invariants are local features based on differentials which are implemented using derivatives of the Gaussian. The use of the proposed invariant…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Andreas Siebert

In this paper, we design two fundamental differential operators for the derivation of rotation differential invariants of images. Each differential invariant obtained by using the new method can be expressed as a homogeneous polynomial of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Hanlin Mo , Hua Li

In this paper, we study scalar the forth order linear differential operators over an oriented 2-dimensional manifold. We investigate differential invariants of these operators and show their application to the equivalence problem.

Differential Geometry · Mathematics 2020-04-28 Valentin Lychagin , Valeriy Yumaguzhin

Illumination effects cause problems for many computer vision algorithms. We present a user-friendly interactive system for robust illumination-invariant image generation. Compared with the previous automated illumination-invariant image…

Computer Vision and Pattern Recognition · Computer Science 2016-07-21 Han Gong , Graham Finlayson

Rotational motion blur caused by the circular motion of the camera or/and object is common in life. Identifying objects from images affected by rotational motion blur is challenging because this image degradation severely impacts image…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Hanlin Mo , Hongxiang Hao , Guoying Zhao

Blur is an image degradation that is difficult to remove. Invariants with respect to blur offer an alternative way of a~description and recognition of blurred images without any deblurring. In this paper, we present an original unified…

Computer Vision and Pattern Recognition · Computer Science 2023-08-03 Jan Flusser , Matej Lebl , Matteo Pedone , Filip Sroubek , Jitka Kostkova

We present a novel framework to automatically learn to transform the differential cues from a stack of images densely captured with a rotational motion into spatially discriminative and view-invariant per-pixel features at each view. These…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Kaizhang Kang , Chong Zeng , Hongzhi Wu , Kun Zhou

Image feature points are detected as pixels which locally maximize a detector function, two commonly used examples of which are the (Euclidean) image gradient and the Harris-Stephens corner detector. A major limitation of these feature…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Stanley L. Tuznik , Peter J. Olver , Allen Tannenbaum

We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of Cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are…

Biomolecules · Quantitative Biology 2014-03-19 Zhizhen Zhao , Amit Singer

Symmetry is present in many tasks in computer vision, where the same class of objects can appear transformed, e.g. rotated due to different camera orientations, or scaled due to perspective. The knowledge of such symmetries in data coupled…

Image and Video Processing · Electrical Eng. & Systems 2022-07-25 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesús Angulo

This paper presents a novel appearance and shape feature, RISAS, which is robust to viewpoint, illumination, scale and rotation variations. RISAS consists of a keypoint detector and a feature descriptor both of which utilise texture and…

Robotics · Computer Science 2016-09-20 Kanzhi Wu , Xiaoyang Li , Ravindra Ranasinghe , Gamini Dissanayake , Yong Liu

Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types of…

Symbolic Computation · Computer Science 2024-12-19 Irina A. Kogan

A novel approach towards depth map super-resolution using multi-view uncalibrated photometric stereo is presented. Practically, an LED light source is attached to a commodity RGB-D sensor and is used to capture objects from multiple…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Lu Sang , Bjoern Haefner , Daniel Cremers

Instance-level change detection in 3D scenes presents significant challenges, particularly in uncontrolled environments lacking labeled image pairs, consistent camera poses, or uniform lighting conditions. This paper addresses these…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Binbin Jiang , Rui Huang , Qingyi Zhao , Yuxiang Zhang

In this work, we address the problem of jointly estimating albedo, normals, depth and 3D spatially-varying lighting from a single image. Most existing methods formulate the task as image-to-image translation, ignoring the 3D properties of…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Zian Wang , Jonah Philion , Sanja Fidler , Jan Kautz

One of basic difficulties of machine learning is handling unknown rotations of objects, for example in image recognition. A related problem is evaluation of similarity of shapes, for example of two chemical molecules, for which direct…

Machine Learning · Computer Science 2018-01-04 Jarek Duda

We propose a viewpoint invariant model for 3D human pose estimation from a single depth image. To achieve this, our discriminative model embeds local regions into a learned viewpoint invariant feature space. Formulated as a multi-task…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Albert Haque , Boya Peng , Zelun Luo , Alexandre Alahi , Serena Yeung , Li Fei-Fei

The calculus of variations applied to the image processing requires some numerical models able to perform the variations of images and the extremization of appropriate actions. To produce the variations of images, there are several…

Computer Vision and Pattern Recognition · Computer Science 2012-01-18 Amelia Carolina Sparavigna

This paper presents a 3D Gaussian Inverse Rendering (GIR) method, employing 3D Gaussian representations to effectively factorize the scene into material properties, light, and geometry. The key contributions lie in three-fold. We compute…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Yahao Shi , Yanmin Wu , Chenming Wu , Xing Liu , Chen Zhao , Haocheng Feng , Jian Zhang , Bin Zhou , Errui Ding , Jingdong Wang

Graded-index optical elements are capable of shaping light precisely and in very specific ways. While classical freeform optics uses only a two-dimensional domain such as the surface of a lens, recent technological advances in laser…

Optics · Physics 2022-04-06 Nicolas Barré , Alexander Jesacher
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