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    Invnet: A Deep Learning Approach To Invert Complex Deformation Fields
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    Abstract:
    Inverting a deformation field is a crucial part for numerous image registration methods and has an important impact on the final registration results. There are methods that work well for small and relatively simple deformations. However, a problem arises when the deformation field consists of complex and large deformations, potentially including folding. For such cases, the state-of-the-art methods fail and the inversion results are unpredictable. In this article, we propose a deep network using the encoder-decoder architecture to improve the inverse calculation. The network is trained using deformations randomly generated using various transformation models and their compositions, with a symmetric inverse consistency error as the cost function. The results are validated using synthetic deformations resembling real ones, as well as deformation fields calculated during registration of real histology data. We show that the proposed method provides an approximate inverse with a lower error than the current state-of-the-art methods.
    Keywords:
    Image registration
    By analyzing and researching the RS encoder in communication system,it is found the problems of complex circuit structure and low processing speed occurred to traditional RS encoder.Focused on the problems,a new encoder construction method was proposed.A RS(255,223) encoder with symmetric coefficients of generator polynomial was implemented under the Quartus7.0,and test,simulation and validation were conducted under Matlab and ModelSim.The simulation result indicates that the performance of the encoder is better,and the encoder is featured with high speed and low hardware complexity.
    ModelSim
    Realization (probability)
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    A new theorem of inverse formula is introduced for a kind of infinite series. Thus some new results for important inverse problems in physics are presented in this paper. These are the inverse problems for obtaining the phonon density of states, the inverse blackbody radiation problem for remote sensing, and the solution for inverse Ewald summation. Of more importance, it shows the possibility of the application of number theory to physical problems.
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    Abstract Quantum-dot Cellular Automata (QCA) is a transistor-less technology known for its low power consumption and higher clock rate. Serial Concatenated Convolutional Coding (SCCC) encoder is a class of forward error correction. This paper picturizes the implementation of the outer encoder as a (7, 4, 1) Bose Chaudhary Hocquenghem encoder that serves the purpose of burst error correction, a pseudo-random inter-leaver used for permuting of systematic code words and finally the inner encoder which is used for the correction of random errors in QCA. Two different architectures of the SCCC encoder have been proposed and discussed in this study. In the proposed two architectures, the first based on external clock signals whereas the second based on internal clock generation. The sub-blocks outer encoder, pseudo-random inter-leaver and inner encoder of the SCCC encoder are optimized, implemented and simulated using QCADesigner and then integrated to design a compact SCCC encoder. The energy dissipation is computed using QCADesigner-E. The proposed SCCC encoder reduced the total area by 46% and energy dissipation by 50% when compared to the reference SCCC encoder. The proposed encoders are more efficient in terms of cell count, energy dissipation and area occupancy respectively.
    Convolutional code
    In most recording systems, user data is translated to sequences that satisfy some constraint like run-length limited (RLL) and maximum transition run (MTR). An encoder for such a constraint is block decodable encoder. In this paper, the encoder is no longer a finite-state encoder and the encoding process uses the look ahead technique. An look ahead encoder such that the input labeling is consistent is called a bounded-delay-encodable block-decodable encoder. For look-ahead and BDB encoders state-tree as a basis for constructing the encoders. A concept called path-classes to characterize these classes of encoders is used.
    Tree (set theory)
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    A new kind of the rotary encoder based on the magneto-optical (MO) storage is proposed. Using the MO methods, a small high-precision high-response rotary encoder can be realized. High precision is achieved by a two-stage process in which the code disk is firstly written using the direct transfer recording, and then rewritten using the corrections based on the measured errors. The systems for writing to, reading from, and evaluating the MO encoder are developed, with the optimal MO encoder reading and writing parameters determined experimentally. A trial MO encoder with a resolution of 9000 pulses/revolutions is created directly from a reference encoder, delivering an accuracy of approximately 2.8 in. The maximum resolution and response frequencies achieved are 18000 p/r and 400 kHz. After the corrected transfer recording, accuracies of 1.3 in at a resolution of 2250 p/r and 1.7 in at 9000 p/r are achieved.
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    Abstract As part of a robot hand with two independently controlled fingers each having one degree of freedom, a novel two-encoder position sensing system was designed for each of the fingers. In this system, a combination of a linear encoder and a rotary encoder is used to indicate finger position. The linear encoder provides coarse measurements while the rotary encoder provides fine measurements between two adjacent linear encoder counts. This two-encoder system permits more precise measurements than a system with only the linear encoder. The two encoders are connected to an IBM PC through an interface system. This paper presents the complete design and implementation of this two-encoder position sensing system.
    Rotary encoder
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    Some examples of inverse problem approach of the phenomena related to materials are introduced. What is the inverse problem?, what could be obtained, identified or estimated by an inverse approach? are discussed based on the inverse processing of elastic waves. Some problems and uncectainities involved in inverse processing are also discussed.
    Inverse method
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