The local image problem for complex analytic maps

Cezar Joiţa; Mihai Tibăr

doi:10.4310/arkiv.2021.v59.n2.a5

Neural Basis of Behavioral Sex Difference during Local Image Generation

Acta Psychologica Sinica ◽

10.3724/sp.j.1041.2013.00438 ◽

2013 ◽

Vol 45 (4) ◽

pp. 438-445

Author(s):

Qingbai ZHAO ◽

Xiaofei ZHANG ◽

Danni SUI ◽

Zhijin ZHOU ◽

Qicai CHEN ◽

...

Keyword(s):

Sex Difference ◽

Image Generation ◽

Neural Basis ◽

Local Image

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Fixed Points of Expansive Analytic Maps (II)

10.21236/ada254737 ◽

1992 ◽

Author(s):

Walter O. Egerland ◽

Charles E. Hansen

Keyword(s):

Fixed Points ◽

Analytic Maps

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Fast fully automatic detection, classification and 3D reconstruction of pulmonary nodules in CT images by local image feature analysis

Biomedical Signal Processing and Control ◽

10.1016/j.bspc.2021.102790 ◽

2021 ◽

Vol 68 ◽

pp. 102790

Author(s):

Chung-Feng Jeffrey Kuo ◽

Jagadish Barman ◽

Chia Wen Hsieh ◽

Hsian-He Hsu

Keyword(s):

3D Reconstruction ◽

Pulmonary Nodules ◽

Automatic Detection ◽

Ct Images ◽

Image Feature ◽

Feature Analysis ◽

Fully Automatic ◽

Local Image

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Algebraicity of analytic maps to a hyperbolic variety

Mathematische Nachrichten ◽

10.1002/mana.201900098 ◽

2020 ◽

Vol 293 (8) ◽

pp. 1490-1504 ◽

Cited By ~ 2

Author(s):

Ariyan Javanpeykar ◽

Robert Kucharczyk

Keyword(s):

Analytic Maps

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3D Affine: An Embedding of Local Image Features for Viewpoint Invariance Using RGB-D Sensor Data

Sensors ◽

10.3390/s19020291 ◽

2019 ◽

Vol 19 (2) ◽

pp. 291 ◽

Cited By ~ 1

Author(s):

Hamdi Sahloul ◽

Shouhei Shirafuji ◽

Jun Ota

Keyword(s):

Low Cost ◽

Image Features ◽

Image Feature ◽

Sensor Data ◽

Invariant Representation ◽

Depth Sensors ◽

Viewpoint Invariance ◽

Surface Discontinuities ◽

Local Image ◽

Local Image Features

Local image features are invariant to in-plane rotations and robust to minor viewpoint changes. However, the current detectors and descriptors for local image features fail to accommodate out-of-plane rotations larger than 25°–30°. Invariance to such viewpoint changes is essential for numerous applications, including wide baseline matching, 6D pose estimation, and object reconstruction. In this study, we present a general embedding that wraps a detector/descriptor pair in order to increase viewpoint invariance by exploiting input depth maps. The proposed embedding locates smooth surfaces within the input RGB-D images and projects them into a viewpoint invariant representation, enabling the detection and description of more viewpoint invariant features. Our embedding can be utilized with different combinations of descriptor/detector pairs, according to the desired application. Using synthetic and real-world objects, we evaluated the viewpoint invariance of various detectors and descriptors, for both standalone and embedded approaches. While standalone local image features fail to accommodate average viewpoint changes beyond 33.3°, our proposed embedding boosted the viewpoint invariance to different levels, depending on the scene geometry. Objects with distinct surface discontinuities were on average invariant up to 52.8°, and the overall average for all evaluated datasets was 45.4°. Similarly, out of a total of 140 combinations involving 20 local image features and various objects with distinct surface discontinuities, only a single standalone local image feature exceeded the goal of 60° viewpoint difference in just two combinations, as compared with 19 different local image features succeeding in 73 combinations when wrapped in the proposed embedding. Furthermore, the proposed approach operates robustly in the presence of input depth noise, even that of low-cost commodity depth sensors, and well beyond.

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