Abstract: A chart is displayed without rendering entirely obscured markers. Successive nested pixel maps of a chart of pixels are traversed. Each of the nested pixel maps has fewer data elements than a corresponding next one of the nested pixel maps. Obscurity states of markers of the chart are determined. The obscurity states include an entirely obscured state, an entirely visible state, and a partially visible state. Each of the markers for a particular nested pixel map is associated with a separate pixel for the particular nested pixel map. One or more of the markers associated with the entirely visible state and one or more of the markers associated with the partially visible state are rendered without rendering markers associated with the entirely obscured state.

Abstract: Implementations generally relate to optimizing bar charts. In some implementations, a method includes receiving a plurality of data points, where each data point of the plurality of data points has a value. The method further includes determining a plurality of bars of the bar chart based on the plurality of data points, where each bar of the plurality of bars has a length and a width. The method further includes associating at least portions of a plurality of pixels used to render the bar chart with the plurality of bars. The method further includes determining for each pixel or pixel portion, at least one or more of a highest positive bar and/or a lowest negative bar. The method further includes rendering for individual pixels or pixel portions, one or more of the respective highest positive bar and/or the respective lowest negative bar.

Abstract: A chart is displayed without rendering entirely obscured markers. Successive nested pixel maps of a chart of pixels are traversed. Each of the nested pixel maps has fewer data elements than a corresponding next one of the nested pixel maps. Obscurity states of markers of the chart are determined. The obscurity states include an entirely obscured state, an entirely visible state, and a partially visible state. Each of the markers for a particular nested pixel map is associated with a separate pixel for the particular nested pixel map. One or more of the markers associated with the entirely visible state and one or more of the markers associated with the partially visible state are rendered without rendering markers associated with the entirely obscured state.

Abstract: Implementations generally relate to optimizing bar charts. In some implementations, a method includes receiving a plurality of data points, where each data point of the plurality of data points has a value. The method further includes determining a plurality of bars of the bar chart based on the plurality of data points, where each bar of the plurality of bars has a length and a width. The method further includes associating at least portions of a plurality of pixels used to render the bar chart with the plurality of bars. The method further includes determining for each pixel or pixel portion, at least one or more of a highest positive bar and/or a lowest negative bar. The method further includes rendering for individual pixels or pixel portions, one or more of the respective highest positive bar and/or the respective lowest negative bar.

Abstract: Implementations generally relate to using a nested pixel map to optimize chart rendering in a graphical user interface. In some implementations, a method includes generating a first pixel map for a chart, wherein the first pixel map is a first data structure that includes a first group of first data elements, wherein each first data element corresponds to a pixel of a plurality of pixels used to render the chart. The method further includes generating at least one secondary pixel map for the chart. The method further includes determining one or more obscurity states of one or more markers of the chart based on one or more of the first pixel map and the at least one secondary pixel map. The method further includes rendering one or more of the markers in the chart based on the obscurity state of each of the one or more markers.

Abstract: Implementations generally relate to optimizing bar charts. In some implementations, a method includes receiving a plurality of data points, where each data point of the plurality of data points has a value. The method further includes determining a plurality of bars of the bar chart based on the plurality of data points, where each bar of the plurality of bars has a length and a width. The method further includes associating a plurality of pixels used to render the bar chart with the plurality of bars. The method further includes determining for each pixel of the plurality of pixels at least one or more of a highest positive bar and a lowest negative bar. The method further includes rendering for each pixel one or more of the respective highest positive bar and the respective lowest negative bar.

Abstract: Implementations generally relate to optimizing bar charts. In some implementations, a method includes receiving a plurality of data points, where each data point of the plurality of data points has a value. The method further includes determining a plurality of bars of the bar chart based on the plurality of data points, where each bar of the plurality of bars has a length and a width. The method further includes associating a plurality of pixels used to render the bar chart with the plurality of bars. The method further includes determining for each pixel of the plurality of pixels at least one or more of a highest positive bar and a lowest negative bar. The method further includes rendering for each pixel one or more of the respective highest positive bar and the respective lowest negative bar.

Abstract: Systems and methods are disclosed that, in various embodiments, improve chart performance by data filtering. In one aspect, the disclosed techniques allow all visible local maxima and minima to be rendered without having their values altered. In another aspect, the disclosed techniques filter data by skipping points evenly. In some embodiments, every horizontal pixel contains two points, so the line is visually uniform. This can dramatically enhance visualizations where data point intervals are uneven (e.g., having “mixed frequency”). Using a two point per pixel approach, the disclosed techniques ensure that a resulting simplified line looks almost identical to the original line by drawing at the limit of the screen resolution. The disclosed techniques allow for an algorithmic complexity of O(n), which is significantly faster than existing solutions.

Abstract: Implementations generally relate to using a nested pixel map to optimize chart rendering in a graphical user interface. In some implementations, a method includes generating a first pixel map for a chart, wherein the first pixel map is a first data structure that includes a first group of first data elements, wherein each first data element corresponds to a pixel of a plurality of pixels used to render the chart. The method further includes generating at least one secondary pixel map for the chart. The method further includes determining one or more obscurity states of one or more markers of the chart based on one or more of the first pixel map and the at least one secondary pixel map. The method further includes rendering one or more of the markers in the chart based on the obscurity state of each of the one or more markers.

Abstract: Systems and methods are disclosed that, in various embodiments, improve chart performance by allowing users to interactively split and unsplit charts with dual-Y axis using dragging gestures or a button.

Abstract: Systems and methods are disclosed that, in various embodiments, improve chart performance by allowing users to interactively split and unsplit charts with dual-Y axis using dragging gestures or a button.

Abstract: Systems and methods are disclosed that, in various embodiments, improve chart performance by allowing users to interactively split and unsplit charts with dual-Y axis using dragging gestures or a button.

Abstract: Systems and methods are disclosed that, in various embodiments, improve chart performance by allowing users to interactively split and unsplit charts with dual-Y axis using dragging gestures or a button.

Abstract: Systems and methods are disclosed that, in various embodiments, improve chart performance by data filtering. In one aspect, the disclosed techniques allow all visible local maxima and minima to be rendered without having their values altered. In another aspect, the disclosed techniques filter data by skipping points evenly. In some embodiments, every horizontal pixel contains two points, so the line is visually uniform. This can dramatically enhance visualizations where data point intervals are uneven (e.g., having “mixed frequency”). Using a two point per pixel approach, the disclosed techniques ensure that a resulting simplified line looks almost identical to the original line by drawing at the limit of the screen resolution. The disclosed techniques allow for an algorithmic complexity of O(n), which is significantly faster than existing solutions.