Quantum Image Clipping - Algorithms, Analysis, and Applications
This research aims to revolutionize complex image clipping using quantum computing, particularly in line clipping algorithms. Traditional methods like Cohen-Sutherland, Liang-Barsky, Cyrus-Beck, and Fast Clipping have limitations in scalability and efficiency. The proposed quantum line clipping algo...
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| Veröffentlicht in: | Digital signal processing Jg. 147; S. 104406 |
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| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier Inc
01.04.2024
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| Schlagworte: | |
| ISSN: | 1051-2004, 1095-4333 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This research aims to revolutionize complex image clipping using quantum computing, particularly in line clipping algorithms. Traditional methods like Cohen-Sutherland, Liang-Barsky, Cyrus-Beck, and Fast Clipping have limitations in scalability and efficiency. The proposed quantum line clipping algorithm uses quantum computing's unique properties to redefine image processing. It views images as vectors, allowing for computation of pixel distances through quantum inner products. The introduction of Q-AND and Q-OR gates within a nine-section quantum display unit plays a pivotal role in decision-making for line clipping, enabling the exclusion of lines beyond the viewport. Comparing this algorithm with classical methods, the quantum algorithm on IBM, Google, and Rigetti's platforms demonstrated superior runtime complexities, demonstrating the immense potential of quantum computation in addressing intricate image clipping challenges. The Quantum Fourier Transform (QFT) acts as a quantum black box, generating high probability amplitudes for substantial vectors. The research also introduces mathematical theorems, such as the quantum image clipping equivalence theorem, which establishes a robust equivalence relation between quantum pixels in frame buffers, the quantum way line clipping equivalence theorem, and the quantum support line clipping optimality theorem. The practical implementation of the proposed quantum line clipping algorithm is presented in Appendix-B, providing valuable resources for researchers and practitioners seeking to explore and experiment with quantum line clipping techniques. |
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| ISSN: | 1051-2004 1095-4333 |
| DOI: | 10.1016/j.dsp.2024.104406 |