Abstract: A massage tool includes a rigid body having a first peak and a second peak, wherein the first peak and second peak are located approximately along a center line of the rigid body and there is a spacing between the first peak and the second peak. A height of the first peak may be different from a height of the second peak. A lower support structure may be disposed below the rigid body, shaped to provide a stable resting surface for the rigid body, and configured to accommodate one or more extendable support legs in a retracted position. A plurality of shallow depressions may form the surface of the rigid body. The one or more extendable support legs may be attached to a portion of the lower support structure, such as at a hinge point, and configured to retract under the rigid body.

Abstract: A brace may include a knit portion with an ankle strap, a rigid shank on a bottom portion of the brace configured to cover at least an arch portion of the foot, a pad positioned below a heel of the foot, a webbing support system extending from the lateral extensor digitorum longus tendon around the peroneus longus retinaculum tendon, under the bottom of the foot to support the plantar tendon and up the arch and medial side of the foot to the extensor hallucis longus tendon, a lacing system threaded through a portion of the webbing support system at the top medial portion of the foot, and a tightening system that applies a pulling force on the lacing system to cinch the webbing support system.

Abstract: To facilitate rendering an image, e.g., a portion of a PDF page, at higher resolutions or locations than could be expressed using standard 32 bit fixed point integer values, an image is segmented and a user space coordinate system origin used for individual segment processing is transformed on a per segment basis to each segment locality before a render request is made to a rendering function library. After a new origin of a segment is established, the PDF page content contained within that locality corresponding to the individual segment being processed is rendered, e.g., using functions available in the PDF software library. The results of processing the segments is combined to produce a final high-resolution image. While the input to the rendering process may include values which can not be expressed in 32 bit fixed point notation, the segmentation process allows the individual segments to be rendered using rendering specified using such notation.

Abstract: To facilitate rendering an image, e.g., a portion of a PDF page, at higher resolutions or locations than could be expressed using standard 32 bit fixed point integer values, an image is segmented and a user space coordinate system origin used for individual segment processing is transformed on a per segment basis to each segment locality before a render request is made to a rendering function library. After a new origin of a segment is established, the PDF page content contained within that locality corresponding to the individual segment being processed is rendered, e.g., using functions available in the PDF software library. The results of processing the segments is combined to produce a final high-resolution image. While the input to the rendering process may include values which can not be expressed in 32 bit fixed point notation, the segmentation process allows the individual segments to be rendered using rendering specified using such notation.