Abstract: Thermostats and operational methods are described. According to one aspect, a thermostat includes an interface configured to receive a control signal, wherein the control signal comprises fast components and slow components, and the fast components change at an increased rate compared with slow components of the control signal, control circuitry including a fast response controller configured to use the fast components of the control signal to generate a fast temperature offset, a slow response controller configured to use the slow components of the control signal to generate a slow temperature offset, and wherein the control circuitry is configured to use the fast temperature offset and the slow temperature offset to control a conditioning apparatus to at least one of heat and cool a conditioned area at a plurality of moments in time.

Abstract: A method for reconstructing a digital image including: obtaining gradient data of the digital image, estimating the wavelet decomposition of the digital image based on the gradient data, performing a synthesis and smoothing operation on decomposed gradient data to provide an estimate of pixel intensities from the wavelet decomposition and outputting a reconstructed digital image.

Abstract: A method for block-based motion estimation, the flexible triangle search (FTS) algorithm is provided. The FTS is based on the simplex algorithm for optimization adapted to an integer grid. The proposed algorithm is highly flexible because of its ability to quickly change its search direction and to move toward the target of the search criterion. Motion estimation in a search window is in relation to a reference window. The motion estimation comprises searching. Searching is comprised of the steps of expanding, translating, contracting and reflecting. A system for block-based motion estimation is also provided.